PAUL HOUSTON PAUL.HOUSTON@NOTTINGHAM.AC.UK
Professor of Computational and Applied Maths
An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems
Houston, Paul; Wihler, Thomas P.
Authors
Thomas P. Wihler
Abstract
In this paper we develop an hp-adaptive procedure for the numerical solution of general second-order semilinear elliptic boundary value problems, with possible singular perturbation. Our approach combines both adaptive Newton schemes and an hp-version adaptive discontinuous Galerkin finite element discretisation, which, in turn, is based on a robust hp-version a posteriori residual analysis. Numerical experiments underline the robustness and reliability of the proposed approach for various examples.
Citation
Houston, P., & Wihler, T. P. (in press). An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Mathematics of Computation, https://doi.org/10.1090/mcom/3308
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 25, 2017 |
Online Publication Date | Jan 24, 2018 |
Deposit Date | Jun 27, 2017 |
Publicly Available Date | Jan 24, 2018 |
Journal | Mathematics of Computation |
Print ISSN | 0025-5718 |
Electronic ISSN | 1088-6842 |
Publisher | American Mathematical Society |
Peer Reviewed | Peer Reviewed |
DOI | https://doi.org/10.1090/mcom/3308 |
Keywords | Newton method, Semilinear elliptic problems, Adaptive finite element methods, Discontinuous Galerkin methods, hp-adaptivity |
Public URL | https://nottingham-repository.worktribe.com/output/906846 |
Publisher URL | http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2018-03308-7/home.html |
Additional Information | First published in Mathematics of Computation, 24 January 2018, by the American Mathematical Society. |
Contract Date | Jun 27, 2017 |
Files
paper_v14.pdf
(6.6 Mb)
PDF
You might also like
Is a persistent global bias necessary for the establishment of planar cell polarity?
(2013)
Journal Article
Flows of granular material in two-dimensional channels
(2015)
Journal Article
Adaptive energy minimisation for hp-finite element methods
(2016)
Journal Article
Adjoint error estimation and adaptivity for hyperbolic problems
(2017)
Book Chapter
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: discovery-access-systems@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search